TPTP Problem File: CSR144^3.p
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% File : CSR144^3 : TPTP v8.2.0. Released v4.1.0.
% Domain : Commonsense Reasoning
% Problem : Does Max think he's single?
% Version : Especial.
% English : There is no time during which Max considers to have a wife. Is it
% true that Max does not believe that he is a husband of somebody?.
% Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% Source : [Ben10]
% Names : ex_3.tq_SUMO_local [Ben10]
% Status : CounterSatisfiable
% Rating : 0.00 v6.4.0, 0.71 v6.3.0, 0.67 v6.1.0, 0.83 v6.0.0, 0.67 v5.5.0, 0.80 v5.4.0, 0.75 v4.1.0
% Syntax : Number of formulae : 9 ( 0 unt; 7 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 2 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 14 ( 2 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% SPC : TH0_CSA_NEQ_NAR
% Comments : This is a simple test problem for reasoning in/about SUMO.
% Initally the problem has been hand generated in KIF syntax in
% SigmaKEE and then automatically translated by Benzmueller's
% KIF2TH0 translator into THF syntax.
% : The translation has been applied in three modes: handselected,
% SInE, and local. The local mode only translates the local
% assumptions and the query. The SInE mode additionally translates
% the SInE extract of the loaded knowledge base (usually SUMO). The
% handselected mode contains a hand-selected relevant axioms.
% : The examples are selected to illustrate the benefits of
% higher-order reasoning in ontology reasoning.
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%----The extracted signature
thf(numbers,type,
num: $tType ).
thf(believes_THFTYPE_IiooI,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(considers_THFTYPE_IiooI,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
thf(holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(lMax_THFTYPE_i,type,
lMax_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
%----The translated axioms
thf(ax,axiom,
! [X: $i] :
( (~)
@ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) ) ).
%----The translated conjectures
thf(con,conjecture,
? [Z: $i] : ( (~) @ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) ) ).
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